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For a whole life insurance policy issued to a life aged exactly 30 has an increasing death benefit (sum insured/face amount). In the tth policy year, t = 1, 2, 3, ..., the face amount is $100, 000 · 1.03t-1. Using the SOA illustrative life table, with interest rate at 9.18% per year, calculate the expected present value of this benefit.
An airplane is flying in the direction 148 degrees with an airspeed of 860 km/h. Because of the wind, its groundspeed and direction are, respectively, 800 km/h and 140 degrees. Find the direction and speed of the wind.
write equation for the hyperbola that satisfies each set of conditions.
Determine the linear correlation coefficient using x = HP and y = MPG. Perform the hypothesis test of rho to determine whether horsepower and gasoline mileage are negatively correlated at the one percent level of significance? [For the critical value..
find a linear equation giving the total cost, c, of producing x units given that 200 graphing calculators cost $1050 to produce and 525 calculators cost $2350 to produce.
A new fashion in clothes is introduced. It spreads slowly through the population at first but then speeds up as more people become aware of it.
town A is 60 km due east of town B. Town C is 144 km from town A at a bearing (from A) of N57degreesE. How far apart are towns B and C?
Suppose that you want to purchase a home for $450,000 with a 30 year mortgage at 6% interest. Suppose that you can put 40% down. Assume that the monthly cost to finance $1,000 is $6.00. What are the monthly payments.
In a sample batch of 36 mechanical pencils it is assumed that 10 are defective. If 5 mechanical pencils are randomly selected, what is the probability that none of them are defective?
Amy paid $58.18 for a pair of running shoes during a 15%-off sale. What was the regular price?
Calculate the value of the sample correlation coefficient between weekly sales & shelf space.
evaluate the derivative of the given function by using the definition of derivative.find the derivative of the
Blaise drew a scale drawing of a swimming pool. In real life, the pool is 12 meters wide. It is 15 millimeters wide in the drawing. What is the scale of the drawing?
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